Allan Clark, Mathematics

Elements of Abstract Algebra

• Broschiertes Buch

Produktbeschreibung

Lucid coverage of the major theories of abstract algebra, with helpful illustrations and exercises included throughout. Unabridged, corrected republication of the work originally published 1971. Bibliography. Index. Includes 24 tables and figures.

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Produktdetails

• Verlag: Dover Publications
• Revised edition
• Seitenzahl: 224
• Erscheinungstermin: 1. Oktober 1984
• Englisch
• Abmessung: 213mm x 137mm x 13mm
• Gewicht: 263g
• ISBN-13: 9780486647258
• ISBN-10: 0486647250
• Artikelnr.: 22121682

Inhaltsangabe

Foreword; Introduction I. Set Theory 1
9. The notation and terminology of set theory 10
16. Mappings 17
19. Equivalence relations 20
25. Properties of natural numbers II. Group Theory 26
29. Definition of group structure 30
34. Examples of group structure 35
44. Subgroups and cosets 45
52. Conjugacy, normal subgroups, and quotient groups 53
59. The Sylow theorems 60
70. Group homomorphism and isomorphism 71
75. Normal and composition series 76
86. The Symmetric groups III. Field Theory 87
89. Definition and examples of field structure 90
95. Vector spaces, bases, and dimension 96
97. Extension fields 98
107. Polynomials 108
114. Algebraic extensions 115
121. Constructions with straightedge and compass IV. Galois Theory 122
126. Automorphisms 127
138. Galois extensions 139
149. Solvability of equations by radicals V. Ring Theory 150
156. Definition and examples of ring structure 157
168. Ideals 169
175. Unique factorization VI. Classical Ideal Theory 176
179. Fields of fractions 180
187. Dedekind domains 188
191. Integral extensions 192
198. Algebraic integers Bibliography; Index